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2249609340 = 22351126912671
BaseRepresentation
bin1000011000010110…
…0101000001111100
312210210000222212110
42012011211001330
514101344444330
61011120534020
7106514235546
oct20605450174
95723028773
102249609340
11a54933880
12529481310
1329b0b0cb4
14174ab2696
15d276adb0
hex8616507c

2249609340 has 96 divisors (see below), whose sum is σ = 6897623040. Its totient is φ = 543289600.

The previous prime is 2249609309. The next prime is 2249609359. The reversal of 2249609340 is 439069422.

It is a super-4 number, since 4×22496093404 (a number of 39 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171205 + ... + 183875.

It is an arithmetic number, because the mean of its divisors is an integer number (71850240).

Almost surely, 22249609340 is an apocalyptic number.

2249609340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2249609340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448811520).

2249609340 is an abundant number, since it is smaller than the sum of its proper divisors (4648013700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2249609340 is a wasteful number, since it uses less digits than its factorization.

2249609340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12963 (or 12961 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 2249609340 is about 47430.0468057960. The cubic root of 2249609340 is about 1310.2948542828.

The spelling of 2249609340 in words is "two billion, two hundred forty-nine million, six hundred nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 269 330 538 660 807 1076 1345 1614 2690 2959 3228 4035 5380 5918 8070 8877 11836 12671 14795 16140 17754 25342 29590 35508 38013 44385 50684 59180 63355 76026 88770 126710 139381 152052 177540 190065 253420 278762 380130 418143 557524 696905 760260 836286 1393810 1672572 2090715 2787620 3408499 4181430 6816998 8362860 10225497 13633996 17042495 20450994 34084990 37493489 40901988 51127485 68169980 74986978 102254970 112480467 149973956 187467445 204509940 224960934 374934890 449921868 562402335 749869780 1124804670 2249609340